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What is the Least Common Multiple of 13508 and 13518?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 13508 and 13518 is 91300572.

LCM(13508,13518) = 91300572

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Least Common Multiple of 13508 and 13518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13508 and 13518, than apply into the LCM equation.

GCF(13508,13518) = 2
LCM(13508,13518) = ( 13508 × 13518) / 2
LCM(13508,13518) = 182601144 / 2
LCM(13508,13518) = 91300572

Least Common Multiple (LCM) of 13508 and 13518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13508 and 13518. First we will calculate the prime factors of 13508 and 13518.

Prime Factorization of 13508

Prime factors of 13508 are 2, 11, 307. Prime factorization of 13508 in exponential form is:

13508 = 22 × 111 × 3071

Prime Factorization of 13518

Prime factors of 13518 are 2, 3, 751. Prime factorization of 13518 in exponential form is:

13518 = 21 × 32 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 13508 and 13518.

LCM(13508,13518) = 22 × 111 × 3071 × 32 × 7511
LCM(13508,13518) = 91300572